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2004
Abstract According to dialetheists, the ‘liar paradox’ constitutes a sound argument to a true contradiction. But in the standard view, a paradox is an apparently unacceptable conclusion derived from apparently acceptable premises by apparently acceptable reasoning.
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Abstract According to dialetheists, the ‘liar paradox’ constitutes a sound argument to a true contradiction. But in the standard view, a paradox is an apparently unacceptable conclusion derived from apparently acceptable premises by apparently acceptable reasoning.
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2008
In this article, 1) we will start by explaining the connection between dialetheism and other important related concepts, such as the ones of trivialism and paraconsistency. Next, we will describe 2) the history of dialetheism and 3) the motivations for the modern dialetheic renaissance, among which the logical (semantic and set-theoretic) paradoxes ...
Priest, Graham, Berto, Francesco
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In this article, 1) we will start by explaining the connection between dialetheism and other important related concepts, such as the ones of trivialism and paraconsistency. Next, we will describe 2) the history of dialetheism and 3) the motivations for the modern dialetheic renaissance, among which the logical (semantic and set-theoretic) paradoxes ...
Priest, Graham, Berto, Francesco
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2004
Abstract For accommodating defective utterances within compositional semantics, truth-value gaps (Kleene's 3-valued logic) and gluts (Priest's LP) are equally efficient, but in terms of classical logic gaps yield harmless incompleteness, whereas gluts precipitate collapse; ex contradictione quodlibet.
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Abstract For accommodating defective utterances within compositional semantics, truth-value gaps (Kleene's 3-valued logic) and gluts (Priest's LP) are equally efficient, but in terms of classical logic gaps yield harmless incompleteness, whereas gluts precipitate collapse; ex contradictione quodlibet.
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2004
Abstract Approaches to paraconsistency can be arranged on a spectrum similar to the way in which approaches to vagueness are often understood. On the left are the metaphysical realists; those who think that there are real contradictory facts, that are mind and language independent.
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Abstract Approaches to paraconsistency can be arranged on a spectrum similar to the way in which approaches to vagueness are often understood. On the left are the metaphysical realists; those who think that there are real contradictory facts, that are mind and language independent.
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History and Philosophy of Logic, 2021
The aim of this paper is to lay bare the roots of dialetheism in discussions about dialectics and dialectical logic at the time of the first development of paraconsistent logics.
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The aim of this paper is to lay bare the roots of dialetheism in discussions about dialectics and dialectical logic at the time of the first development of paraconsistent logics.
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Frontiers of Philosophy in China, 2011
Dialetheism is the view that there are true contradictions. Classical dialetheism holds further the view that the law of excluded middle is indeed a logical law. Most famous dialetheists, such as G. Priest and J. Beall, are classical dialetheists; they take classical dialetheism to be the only plausible solution to the semantic paradoxes.
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Dialetheism is the view that there are true contradictions. Classical dialetheism holds further the view that the law of excluded middle is indeed a logical law. Most famous dialetheists, such as G. Priest and J. Beall, are classical dialetheists; they take classical dialetheism to be the only plausible solution to the semantic paradoxes.
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2008
AbstractThis chapter surveys a number of dialetheic theories, pointing out some difficulties with each. The theories differ over the kind of conditionals they contain. The dialetheic theory that in some ways does best among those now known is based on the semantics of Chapters 16 and 17; however, it is somewhat unsatisfactory in not allowing reasoning ...
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AbstractThis chapter surveys a number of dialetheic theories, pointing out some difficulties with each. The theories differ over the kind of conditionals they contain. The dialetheic theory that in some ways does best among those now known is based on the semantics of Chapters 16 and 17; however, it is somewhat unsatisfactory in not allowing reasoning ...
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2004
Abstract Dialetheism is the view that there are true contradictions. The strongest argument in favour of dialetheism is that it alone allows us to solve semantic paradoxes like the liar paradox. This chapter presents two main criticisms of dialetheism.
Greg Littmann, Keith Simmons
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Abstract Dialetheism is the view that there are true contradictions. The strongest argument in favour of dialetheism is that it alone allows us to solve semantic paradoxes like the liar paradox. This chapter presents two main criticisms of dialetheism.
Greg Littmann, Keith Simmons
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Informal provability and dialetheism
Theoria, 2023According to the dialetheist argument from the inconsistency of informal mathematics, the informal version of the Gödelian argument leads us to a true contradiction.On one hand, the dialetheist argues, we can prove that there is a mathematical claim that is neither provable nor refutable in informal mathematics.
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